Algebra Semester Exam Review

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

x = 1

Front

Simplify the expression by combining like terms: 4x^2 - 3x + 11 - 2x

Back

4x^2 - 5x + 11

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

Factor the expression n^2 + 16n + 63.

Back

(n + 7)(n + 9)

Front

What does the inequality -9 < x ≤ 2 represent?

Back

It represents the domain of x values that are greater than -9 and less than or equal to 2.

Front

What is the definition of a linear function?

Back

A function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the process of combining like terms in an expression?

Back

Adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What is the quadratic formula used for?

Back

To find the solutions of a quadratic equation in the form ax^2 + bx + c = 0, given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.